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STANDARDS

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US-NY

Math

New York Math

Grade 8: Expressions, Equations, and Inequalities

Work with radicals and integer exponents.

NY-8.EE.1

Fully covered
Know and apply the properties of integer exponents to generate equivalent numerical expressions.

NY-8.EE.2

Fully covered
Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Know square roots of perfect squares up to 225 and cube roots of perfect cubes up to 125. Know that the square root of a non-perfect square is irrational.

NY-8.EE.3

Fully covered
Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other.

NY-8.EE.4

Fully covered
Perform multiplication and division with numbers expressed in scientific notation, including problems where both standard decimal form and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities. Interpret scientific notation that has been generated by technology.

Understand the connections between proportional relationships, lines, and linear equations.

NY-8.EE.5

Fully covered
Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways.

NY-8.EE.6

Mostly covered
Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.
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Analyze and solve linear equations and pairs of simultaneous linear equations.

NY-8.EE.7

Solve linear equations in one variable.

NY-8.EE.7.a

Fully covered
Recognize when linear equations in one variable have one solution, infinitely many solutions, or no solutions. Give examples and show which of these possibilities is the case by successively transforming the given equation into simpler forms.

NY-8.EE.7.b

Fully covered
Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and combining like terms.

NY-8.EE.8

Analyze and solve pairs of simultaneous linear equations.

NY-8.EE.8.a

Fully covered
Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously. Recognize when the system has one solution, no solution, or infinitely many solutions.

NY-8.EE.8.b

Mostly covered
Solve systems of two linear equations in two variables with integer coefficients: graphically, numerically using a table, and algebraically. Solve simple cases by inspection.

NY-8.EE.8.c

Fully covered
Solve real-world and mathematical problems involving systems of two linear equations in two variables with integer coefficients.